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三角模糊数直觉模糊Bonferroni平均算子及其应用

         

摘要

With respect to the problems of multiple attribute group decision-making (MAGDM)in which the attribute values were in the form of triangular fuzzy number intuitionistic fuzzy numbers (TFNIFN)and attributes were associated with each other,this paper presented a method based on triangular fuzzy number intuitionistic fuzzy weighted Bonferroni means (TFNIF-WBM)operator.Firstly,according to the TFNIFN’s operational laws and Bonferroni means(BM)operator,this method de-fined triangular fuzzy number intuitionistic fuzzy Bonferroni means(TFNIFBM)operator and TFNIFWBM operator.Then,it re-searched the related properties,constructed a multi-attribute group decision making model based on TFNIFWBM operator, which was for making decisions combining with sort methods.Finally,this paper gave an illustrative example of MAGDMprob-lems to demonstrate the effectiveness and feasibility of the proposed operator.%针对决策信息为三角模糊数直觉模糊数(TFNIFN)且属性间存在相互关联的多属性群决策(MAGDM)问题,提出了一种基于三角模糊数直觉模糊加权 Bonferroni 平均(TFNIFWBM)算子的决策方法。首先,基于TFNIFN的运算法则和Bonferroni平均(BM)算子,定义了三角模糊数直觉模糊BM算子和TFNIFWBM算子;然后,研究了这些算子的一些性质,建立基于TFNIFWBM算子的MAGDM模型,结合排序方法进行决策。最后通过MAGDM算例验证了该算子的有效性与可行性。

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